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Diameter of Piston for Pressure Drop over Length Formula

GoDiameter of Piston given Shear Stress Formula

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Diameter of Piston is the actual diameter of the piston while the bore is the size of the cylinder and will always be larger than the piston. Check FAQs

D = (\frac{ΔPf}{6 \cdot μ \cdot v piston \cdot \frac{L P}{{C R}^{3}}}) \cdot 2

D - Diameter of Piston?ΔPf - Pressure Drop due to Friction?μ - Dynamic Viscosity?v_piston - Velocity of Piston?L_P - Piston Length?C_R - Radial Clearance?

Diameter of Piston for Pressure Drop over Length Example

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Here is how the Diameter of Piston for Pressure Drop over Length equation looks like with Values.

Here is how the Diameter of Piston for Pressure Drop over Length equation looks like with Units.

Here is how the Diameter of Piston for Pressure Drop over Length equation looks like.

4.3676 = (\frac{33}{6 \cdot 10.2 \cdot 0.045 \cdot \frac{5}{{0.45}^{3}}}) \cdot 2

4.3676m = (\frac{33Pa}{6 \cdot 10.2P \cdot 0.045m/s \cdot \frac{5m}{{0.45m}^{3}}}) \cdot 2

4.3676 = (\frac{33}{6 \cdot 10.2 \cdot 0.045 \cdot \frac{5}{{0.45}^{3}}}) \cdot 2

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Diameter of Piston for Pressure Drop over Length Solution

Follow our step by step solution on how to calculate Diameter of Piston for Pressure Drop over Length?

FIRST Step Consider the formula

D = (\frac{ΔPf}{6 \cdot μ \cdot v piston \cdot \frac{L P}{{C R}^{3}}}) \cdot 2

Next Step Substitute values of Variables

∴

D = (\frac{33Pa}{6 \cdot 10.2P \cdot 0.045m/s \cdot \frac{5m}{{0.45m}^{3}}}) \cdot 2

Next Step Convert Units

∴

D = (\frac{33Pa}{6 \cdot 1.02Pa*s \cdot 0.045m/s \cdot \frac{5m}{{0.45m}^{3}}}) \cdot 2

Next Step Prepare to Evaluate

∴

D = (\frac{33}{6 \cdot 1.02 \cdot 0.045 \cdot \frac{5}{{0.45}^{3}}}) \cdot 2

Next Step Evaluate

∴

D = 4.36764705882353m

LAST Step Rounding Answer

∴

D = 4.3676m

Diameter of Piston for Pressure Drop over Length Formula Elements

Variables

Diameter of Piston

Diameter of Piston is the actual diameter of the piston while the bore is the size of the cylinder and will always be larger than the piston.

Symbol: D

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter of Piston

Pressure Drop due to Friction

Pressure Drop due to Friction is the decrease in the value of the pressure due to the influence of friction.

Symbol: ΔPf

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Pressure Drop due to Friction

Dynamic Viscosity

The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.

Symbol: μ

Measurement: Dynamic ViscosityUnit: P

Note: Value should be greater than 0.

Formulas to find Dynamic Viscosity

Velocity of Piston

Velocity of piston in reciprocating pump is defined as the product of sin of angular velocity and time, radius of crank and angular velocity.

Symbol: v_piston

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Velocity of Piston

Piston Length

Piston Length is how far the piston travels in the cylinder, which is determined by the cranks on the crankshaft. length.

Symbol: L_P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Piston Length

Radial Clearance

Radial Clearance or gap is the distance between two surfaces adjacent to each other.

Symbol: C_R

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Radial Clearance

Other Formulas to find Diameter of Piston

Go Diameter of Piston given Shear Stress

D = \frac{𝜏}{1.5 \cdot μ \cdot \frac{v piston}{C H \cdot C H}}

Other formulas in When Piston Velocity is Negligible to Average Velocity of Oil in Clearance Space category

Go Velocity of Fluid

u Oiltank = dp|dr \cdot 0.5 \cdot \frac{R \cdot R - C H \cdot R}{μ}

Go Pressure Gradient given Velocity of Fluid

dp|dr = \frac{u Oiltank}{0.5 \cdot \frac{R \cdot R - C H \cdot R}{μ}}

Go Dynamic Viscosity given Velocity of Fluid

μ = dp|dr \cdot 0.5 \cdot (\frac{R^{2} - C H \cdot R}{u Fluid})

Go Pressure Drop over Lengths of Piston

ΔPf = (6 \cdot μ \cdot v piston \cdot \frac{L P}{{C R}^{3}}) \cdot (0.5 \cdot D)

How to Evaluate Diameter of Piston for Pressure Drop over Length?

Diameter of Piston for Pressure Drop over Length evaluator uses Diameter of Piston = (Pressure Drop due to Friction/(6*Dynamic Viscosity*Velocity of Piston*Piston Length/(Radial Clearance^3)))*2 to evaluate the Diameter of Piston, The Diameter of Piston for Pressure Drop over Length is defined as the width of tank or piston used for study. Diameter of Piston is denoted by D symbol.

How to evaluate Diameter of Piston for Pressure Drop over Length using this online evaluator? To use this online evaluator for Diameter of Piston for Pressure Drop over Length, enter Pressure Drop due to Friction (ΔPf), Dynamic Viscosity (μ), Velocity of Piston (v_piston), Piston Length (L_P) & Radial Clearance (C_R) and hit the calculate button.

FAQs on Diameter of Piston for Pressure Drop over Length

What is the formula to find Diameter of Piston for Pressure Drop over Length?

The formula of Diameter of Piston for Pressure Drop over Length is expressed as Diameter of Piston = (Pressure Drop due to Friction/(6*Dynamic Viscosity*Velocity of Piston*Piston Length/(Radial Clearance^3)))*2. Here is an example- 4.367647 = (33/(6*1.02*0.045*5/(0.45^3)))*2.

How to calculate Diameter of Piston for Pressure Drop over Length?

With Pressure Drop due to Friction (ΔPf), Dynamic Viscosity (μ), Velocity of Piston (v_piston), Piston Length (L_P) & Radial Clearance (C_R) we can find Diameter of Piston for Pressure Drop over Length using the formula - Diameter of Piston = (Pressure Drop due to Friction/(6*Dynamic Viscosity*Velocity of Piston*Piston Length/(Radial Clearance^3)))*2.

What are the other ways to Calculate Diameter of Piston?

Here are the different ways to Calculate Diameter of Piston-

Diameter of Piston=Shear Stress/(1.5*Dynamic Viscosity*Velocity of Piston/(Hydraulic Clearance*Hydraulic Clearance))

Can the Diameter of Piston for Pressure Drop over Length be negative?

No, the Diameter of Piston for Pressure Drop over Length, measured in Length cannot be negative.

Which unit is used to measure Diameter of Piston for Pressure Drop over Length?

Diameter of Piston for Pressure Drop over Length is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Diameter of Piston for Pressure Drop over Length can be measured.

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: Value
: Unit

Diameter of Piston for Pressure Drop over Length Formula

​GoDiameter of Piston given Shear Stress Formula

Diameter of Piston for Pressure Drop over Length Example

Diameter of Piston for Pressure Drop over Length Solution

Diameter of Piston for Pressure Drop over Length Formula Elements

Other Formulas to find Diameter of Piston

Other formulas in When Piston Velocity is Negligible to Average Velocity of Oil in Clearance Space category

How to Evaluate Diameter of Piston for Pressure Drop over Length?

FAQs on Diameter of Piston for Pressure Drop over Length

Variable Name

GoDiameter of Piston given Shear Stress Formula